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Finding the Fourth Proportional to 5,311.01, 7,966.51 and 1,613.22

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Solution

The fourth proportional to 5,311.01, 7,966.51 and 1,613.22 is: 2,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.01 : 7,966.51 = 1,613.22 : x
  2. Step 2: Convert to fraction form
    5,311.01/7,966.51 = 1,613.22/x
  3. Step 3: Cross multiply
    5,311.01x = 7,966.51 × 1,613.22
  4. Step 4: Simplify right side
    5,311.01x = 12,851,725.20
  5. Step 5: Solve for x
    x = 12,851,725.20/5,311.01
  6. Step 6: Final answer
    x = 2,419.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.